Kavanaugh's drinking has become an issue because women who've accused him of sexual misconduct - Christine Blasey Ford and Deborah Ramirez (and Julie Swetnick) - have said Kavanaugh was drunk at the time of the alleged incidents.
While studying at Yale, Kavanaugh got into a bar fight with a punter he mistakenly thought to be UB40 singer Ali Campbell.
Dudley has spoken out in support of Kavanaugh's nomination, and on Monday the White House released joint statements from him and a former Yale suite mate, Dan Murphy, rebutting any claims that Kavanaugh drank to the point of blacking out.
Even President Donald Trump, who nominated Kavanaugh to the Supreme Court and who is desperate to see him confirmed, appeared to contradict Kavanaugh's drinking denials in a speech on Monday, characterizing him as "a man saying that he did have difficulty as a young man with drink".
The Times, which based its story on a redacted copy of the police report, had said it was unclear whether anyone was arrested.
"I have been contacted by numerous reporters about Brett Kavanaugh and have not wanted to say anything because I had nothing to contribute about what kind of justice he would be". The agency is conducting a one-week investigation into sexual misconduct allegations against the federal judge that date back to high school.
In a memory that slightly differs from the ice-throwing police report to which The Times refers, Ludington said that Kavanaugh "threw his beer" at a man sitting at the bar - a man whom the group first believed might be the singer of the band UB40.
Hartman, the police spokesman, said the 33-year-old report offers no indication Kavanaugh, Dudley or anyone else questioned by police were drunk. For the fact is, at Yale, and I can speak to no other times, Brett was a frequent drinker, and a heavy drinker.
Harvard University's student paper has reported that Mr Kavanaugh will not return to teach law in January.
Mr Ludington made the allegations in a statement published on Sunday.
The White House had no immediate comment about Ludington's accusations. Brett drank and I drank.
"It's the type of incident that happens pretty much daily", he said.